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Finding the Fourth Proportional to 34,856.31, 48,102 and 18,940.76

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Solution

The fourth proportional to 34,856.31, 48,102 and 18,940.76 is: 26,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,856.31 : 48,102 = 18,940.76 : x
  2. Step 2: Convert to fraction form
    34,856.31/48,102 = 18,940.76/x
  3. Step 3: Cross multiply
    34,856.31x = 48,102 × 18,940.76
  4. Step 4: Simplify right side
    34,856.31x = 911,088,197.01
  5. Step 5: Solve for x
    x = 911,088,197.01/34,856.31
  6. Step 6: Final answer
    x = 26,138.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.